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Mathematical Modeling of the Dynamics of Multi-scale Phenomena During Folding and Fracturing of Sedimentary Rocks

Published Papers

The role of fractures in the structural interpretation
of Sheep Mountain Anticline, Wyoming

  Nicolas Bellahsen, Patricia Fiore and David D. Pollard
  Journal of Structural Geology, Vol. 28, 2006, pp.850–867

 

From spatial variation of fracture patterns to fold kinematics:
A geomechanical approach

  Nicolas Bellahsen, Patricia Fiore and David D. Pollard
  Geophysical Research Letters, Vol. 33, 2006

 

Mechanical aspects of thrust faulting driven by far-field compression and their implications for fold geometry

  Pablo F. Sanz, Ronaldo I. Borja and David D. Pollard
  Acta Geotechnica, Vol. 2, 2007, pp. 17-31

 

Using differential geometry to describe 3-D folds

  Ian Mynatt, Stephan Bergbauer and David D. Pollard
  Journal of Structural Geology, Vol. 29, 2007, pp. 1256-1266

 

Continuum mathematical modeling of slip weakening in geological systems

  Ronaldo I. Borja and Craig D. Foster
  Journal of Geophysical Research, Vol. 112, 2007

 

Embedded strong discontinuity finite elements for fractured geomaterials with variable friction

  Craig D. Foster, Ronaldo I. Borja and Richard A. Regueiro
  International Journal for Numerical Methods in Engineering, Vol. 72, 2007. pp. 549-581

 

Inferring fault characteristics using fold geometry constrained by Airborne Laser Swath Mapping at Raplee Ridge, Utah

  Ian Mynatt, George E. Hilley and David D. Pollard
  Geophysical Research Letters, Vol. 34, 2007

 

Computational modeling of fault-related folds using large deformation contact mechanics

  Pablo F. Sanz, Ronaldo I. Borja and David D. Pollard
  IX International Confrence on Computational Plasticity, Barcelona, Spain, September 2007

 

Curvature and fracturing based on global positioning system data collected at Sheep Mountain Anticline, Wyoming

  Patricia Fiore Allwardt, Nicolas Bellahsen and David D. Pollard
  Geospheres, Vol. 3, 2007, pp. 408-421

 

A contact algorithm for frictional crack propagation with the extended finite element method

  Fushen Liu and Ronaldo I. Borja
  International Journal for Numerical Methods in Engineering, Vol. 76, 2008, pp. 1489-1512

 

Assumed enhanced strain and the extended finite element methods: A unification of concepts

  Ronaldo I. Borja
  Computer Methods in Applied Mechanics and Engineering, Vol. 197, 2008, pp. 2789-2803

 

Stabilized low-order finite elements for coupled solid-deformation/fulid-diffusion and their application to fualt zone transients

  Joshua A. White and Ronaldo I. Borja
  Computer Methods in Applied Mechanics and Engineering, Vol. 197, 2008, pp. 4353-4366

 

Mechanical models of fracture reactivation and slip on bedding surfaces during folding of the asymmetric anticline at Sheep Mountain, Wyoming

  Pablo F. Sanz, David D. Pollard, Patricia F. Allwardt, and Ronaldo I. Borja
  Journal of Structural Geology, Vol. 30, 2008, pp. 1177-1191

 

Constraining surface interpolations using elastic plate bending solutions with application to geologic folding

  J. Ole Kaven, Rafe Mazzeo and David D. Pollard
  Mathematical Geosciences, 2008